Questions: The mass of a ball moving at 3 m / s with a momentum of 48 kg m / s is 12 kg, 16 kg, 4 kg, 144 kg, none of these.

Solution Steps

The momentum $p$ of an object is given by the formula: $$p = m \cdot v$$ where $m$ is the mass and $v$ is the velocity of the object.

From the problem, we know:

• Momentum $p = 48 \, \text{kg} \, \text{m/s}$
• Velocity $v = 3 \, \text{m/s}$

Rearrange the formula to solve for mass $m$: $$m = \frac{p}{v}$$

Substitute the given values into the equation: $$m = \frac{48 \, \text{kg} \, \text{m/s}}{3 \, \text{m/s}}$$

Perform the division: $$m = 16 \, \text{kg}$$

Final Answer